Hilbert-Kunz theory for binoids
Commutative Algebra
2016-06-22 v1
Abstract
We develop Hilbert-Kunz theory in a combinatorial setting namely for binoids. We show that the Hilbert-Kunz multiplicity for commutative, finitely generated, semipositive, cancellative and reduced binoids exists and is a rational number. This implies that the corresponding Hilbert-Kunz multiplicity for the binoid algebras does not depend on the characteristic.
Cite
@article{arxiv.1606.06478,
title = {Hilbert-Kunz theory for binoids},
author = {Bayarjargal Batsukh},
journal= {arXiv preprint arXiv:1606.06478},
year = {2016}
}